Cocycle rigidity of partially hyperbolic abelian actions with almost rank-one factors

被引：1

作者：

Vinhage, Kurt ^{[1
]}

机构：

[1] Univ Chicago, Math, Chicago, IL 60637 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2019年 / 39卷

基金：

美国国家科学基金会;

关键词：

LOCAL RIGIDITY; PARABOLIC ACTIONS; ACTIONS I;

D O I：

10.1017/etds.2017.119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the recent progress on the cocycle rigidity of partially hyperbolic homogeneous abelian actions to the setting with rank-one factors in the universal cover. The method of proof relies on the periodic cycle functional and analysis of the cycle structure, but uses a new argument to give vanishing.

引用

页码：2006 / 2016

页数：11

共 19 条

[1]

Damjanovic D, 2005, DISCRETE CONT DYN-A, V13, P985

[2] Central extensions of simple lie groups and rigidity of some abelian partially hyperbolic algebraic actions [J].